Compartmental systems with pipes

I. Győri, J. Eller

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

This paper presents a generalization of the classical compartmental models using the concept of "pipes" between the compartments and taking into account the time needed for the material to pass through these pipes. A general linear delay differential system describing such models is derived and some properties of its solutions-such as nonnegativity, boundedness, stability-are established. For stationary and asymptotically stationary systems the asymptotic solution is obtained, too. The theory presented generalizes several earlier results concerning more special equations.

Original languageEnglish
Pages (from-to)223-247
Number of pages25
JournalMathematical Biosciences
Volume53
Issue number3-4
DOIs
Publication statusPublished - 1981

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pipes
pipe
Pipe
Delay-differential Systems
Compartmental Model
Nonnegativity
Asymptotic Solution
Boundedness
Linear Systems
Generalise
Model
Generalization
Concepts
material

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

Compartmental systems with pipes. / Győri, I.; Eller, J.

In: Mathematical Biosciences, Vol. 53, No. 3-4, 1981, p. 223-247.

Research output: Contribution to journalArticle

Győri, I. ; Eller, J. / Compartmental systems with pipes. In: Mathematical Biosciences. 1981 ; Vol. 53, No. 3-4. pp. 223-247.
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